标题： 卫星纽结的主编号和Thurston范数 显示英文标题

标题： The trunk number of satellite knots and Thurston norm

摘要： 假设$J \subset\mathbb{R}^3$是一个非平凡的纽结，并且假设$\hat k\subset S^1\times D^2$是一个卫星模式。令$N$为相对于$\hat k$的在$S^1\times D^2$中的子午线圆盘同调类的广义 Thurston 范数。 设$K$是以$J$为基底的卫星纽结，其模式为$\hat k$。我们证明$K$的截面数严格大于$N$倍的$J$的截面数。 显示英文摘要

摘要： Assume $J \subset\mathbb{R}^3$ is a non-trivial knot, and assume $\hat k\subset S^1\times D^2$ is a satellite pattern. Let $N$ be the generalized Thurston norm of the homology class of the meridian disk in $S^1\times D^2$ with respect to $\hat k$. Let $K$ be the satellite knot of $J$ with pattern $\hat k$. We show that the trunk number of $K$ is strictly greater than $N$ times the trunk number of $J$.